Nonlinear Dynamics

, Volume 53, Issue 3, pp 201–213

Dynamics, chaos and synchronization of self-sustained electromechanical systems with clamped-free flexible arm

Authors

  • C. A. Kitio Kwuimy
    • Laboratory of Modeling and Simulation in Engineering and Biological PhysicsUniversity of Yaounde I
    • Laboratory of Modeling and Simulation in Engineering and Biological PhysicsUniversity of Yaounde I
    • Georg Forster Research FellowMax-Planck Institute for Dynamics and Self-Organisation
Open AccessOriginal Paper

DOI: 10.1007/s11071-007-9308-0

Cite this article as:
Kitio Kwuimy, C.A. & Woafo, P. Nonlinear Dyn (2008) 53: 201. doi:10.1007/s11071-007-9308-0

Abstract

An electromechanical system with flexible arm is considered. The mechanical part is a linear flexible beam and the electrical part is a nonlinear self-sustained oscillator. Oscillatory solutions are obtained using an averaging method. Chaotic behavior is studied via the Lyapunov exponent. The synchronization of regular and chaotic states of two such devices is discussed and the stability boundaries for the synchronization process are derived using the Floquet theory. We compare the results obtained from a finite difference simulation to those from the classical modal approach.

Keywords

Electromechanical devicesFlexible armsOscillatory and chaotic statesSynchronization
Download to read the full article text

Copyright information

© Springer Science+Business Media B.V. 2007